The mean value form for complex analytic functions. (Q5958910)
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scientific article; zbMATH DE number 1721792
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The mean value form for complex analytic functions. |
scientific article; zbMATH DE number 1721792 |
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The mean value form for complex analytic functions. (English)
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2001
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The mean value form for computing the bounds on the range of a function over an interval has been studied for real functions only so far, with a few exceptions concerning several particular complex functions. In this paper a mean value form is developed for a general complex analytic function in either rectangular, or circular complex arithmetic. For the circular mean value form, quadratic convergence as well as inclusion isotonicity are established.
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mean value form
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complex interval arithmetic
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quadratic convergence
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range of a function
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inclusion isotonicity
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0.91593766
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0.8989638
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